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Scheduling a proportionate flow shop of batching machines

Author

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  • Christoph Hertrich

    (Technische Universität Kaiserslautern
    Technische Universität Berlin)

  • Christian Weiß

    (Fraunhofer Institute for Industrial Mathematics ITWM)

  • Heiner Ackermann

    (Fraunhofer Institute for Industrial Mathematics ITWM)

  • Sandy Heydrich

    (Fraunhofer Institute for Industrial Mathematics ITWM)

  • Sven O. Krumke

    (Technische Universität Kaiserslautern)

Abstract

In this paper we study a proportionate flow shop of batching machines with release dates and a fixed number $$m \ge 2$$ m ≥ 2 of machines. The scheduling problem has so far barely received any attention in the literature, but recently its importance has increased significantly, due to applications in the industrial scaling of modern bio-medicine production processes. We show that for any fixed number of machines, the makespan and the sum of completion times can be minimized in polynomial time. Furthermore, we show that the obtained algorithm can also be used to minimize the weighted total completion time, maximum lateness, total tardiness and (weighted) number of late jobs in polynomial time if all release dates are 0. Previously, polynomial time algorithms have only been known for two machines.

Suggested Citation

  • Christoph Hertrich & Christian Weiß & Heiner Ackermann & Sandy Heydrich & Sven O. Krumke, 2020. "Scheduling a proportionate flow shop of batching machines," Journal of Scheduling, Springer, vol. 23(5), pages 575-593, October.
    • Handle: RePEc:spr:jsched:v:23:y:2020:i:5:d:10.1007_s10951-020-00667-2
    DOI: 10.1007/s10951-020-00667-2
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    References listed on IDEAS

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